pharmacology math
 
Mixing your own: powdered medications.
 
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If the nurse is required to mix powdered medications, one should look at the literature or ask pharmacy if there are special instructions for the admixture.  Many medications that are prepared as powdered and the nurse must add a given volume of diluent requires a specific amount in order to calculate and administer a safe dosage.  Arbitrarily adding 10 ml of diluent to a 1 gram medication vial and making the assumption that you have 100 mg /ml may be erroneous.

Example: 

    John has an order for Penicillin G 800,000 Units IVPB q4°.  The nurse has a one million units vial that has the following information on the vial:  Add 9.6 ml of sterile water to the vial to yield 100,000 U/ml.  How many ml will the nurse withdraw from the reconstituted vial?
What is the critical information?
  • The dosage (800,000 units).
  • The end concentration (100,000 U / ml).
What is extraneous information not needed for calculating?
  • Mixing instructions (Adding the 9.6 ml to the vial tells you that this is the volume necessary to add to the powder to yield a specific concentration.)  Can you figure how much volume the powder has ?         (answer is 0.4 ml [10 - 9.6 = 0.4]) 
  • q 4°  (Since you are calculating a single dose, this information is not necessary to calculate.

  •  
    100,000 Units
    1 ml
    =
    800,000 Units
     X ml
    100,000 x
    =
    800,000
    X
    =
    8 ml
..
.
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show-me page Pediatric Show-Me Index page
10/2003
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